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What is the Least Common Multiple of 68850 and 68861?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 68850 and 68861 is 4741079850.

LCM(68850,68861) = 4741079850

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Least Common Multiple of 68850 and 68861 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68850 and 68861, than apply into the LCM equation.

GCF(68850,68861) = 1
LCM(68850,68861) = ( 68850 × 68861) / 1
LCM(68850,68861) = 4741079850 / 1
LCM(68850,68861) = 4741079850

Least Common Multiple (LCM) of 68850 and 68861 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68850 and 68861. First we will calculate the prime factors of 68850 and 68861.

Prime Factorization of 68850

Prime factors of 68850 are 2, 3, 5, 17. Prime factorization of 68850 in exponential form is:

68850 = 21 × 34 × 52 × 171

Prime Factorization of 68861

Prime factors of 68861 are 13, 5297. Prime factorization of 68861 in exponential form is:

68861 = 131 × 52971

Now multiplying the highest exponent prime factors to calculate the LCM of 68850 and 68861.

LCM(68850,68861) = 21 × 34 × 52 × 171 × 131 × 52971
LCM(68850,68861) = 4741079850